Setup blender cycles so that it shows svg images as they would normally look
As you describe it, you just want to import into blender for animation purposes.

I might be wrong, but I think blender only looks at the shapes of the svgs and (based on your image) approximates the color gradients as single colors. I suggest exporting all svgs as png with alpha and use the "import image as plane add-on" in blender. addon

Set the materials on the planes to an emission shader with strength 1 (this way they are "not shaded" and somewhat independent of external lighting, giving a 2d look) and the background to white.